Digital library
Textbooks, references and open learning resources.
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Lebesgue Integration on Time Scales
Svetlin G. Georgiev · Sorbonne University, Paris, France
LibreTexts
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Elementary Trigonometry
Richard W. Beveridge · Clatsop Community College
Ancient trigonometry typically used angles and triangles that were embedded in circles so that many of the calculations used were based on the lengths of chords within a circle. The relationships between the lengths of the chords and other lines drawn within a circle and the measure of the corresponding central angle represent the foundation of trigonometry - the relationship between angles and distances.
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Elementary Algebra
LibreTexts · LibreTexts
Traditionally, the study of algebra is separated into a two parts, elementary algebra and intermediate algebra. This textbook, Elementary Algebra, is the first part, written in a clear and concise manner, making no assumption of prior algebra experience. It carefully guides students from the basics to the more advanced techniques required to be successful in the next course.
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Introductory Statistics
Barbara Illowsky & Susan Dean · De Anza College
This text follows scope and sequence requirements of a one-semester introduction to statistics course and is geared toward students majoring in fields other than math or engineering. The text assumes some knowledge of intermediate algebra and focuses on statistics application over theory. Introductory Statistics includes innovative practical applications that make the text relevant and accessible, as well as collaborative exercises, technology integration problems, and statistics labs.
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Abstract Algebra I
Pamini Thangarajah · Mount Royal University
Abstract algebra is a fascinating area of study within mathematics that explores the intricacies of algebraic structures such as groups, rings, and fields. These structures are defined using abstract axioms, and the focus is on understanding their properties independently of any specific mathematical objects or physical systems. It is a highly abstract and theoretical field, but one that has practical applications in areas such as computer science, physics, chemistry and engineering.
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Fundamentals of Atmospheric Science
William Brune · The Pennsylvania State University
In the contents: 1.02: You will not believe what you can do with math · 7.06: What is the math behind these physical descriptions of the GOES data products · 08: Math and Conceptual Preparation for Understanding Atmospheric Motion
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College Algebra and Trigonometry
Richard W. Beveridge · Clatsop Community College
This College Algebra text will cover a combination of classical algebra and analytic geometry, with an introduction to the transcendental exponential and logarithmic functions. If mathematics is the language of science, then algebra is the grammar of that language. Like grammar, algebra provides a structure to mathematical notation, in addition to its uses in problem solving and its ability to change the appearance of an expression without changing the value.
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Symmetry
Claire Vallance · University of Oxford
In the contents: 1.07: Mathematical Definition of a Group
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Advanced Algebra
Anonymous · LibreTexts
Intermediate Algebra is the second part of a two-part course in Algebra that builds on the basics learned in Elementary Algebra and introduces the more advanced topics required for further study of applications found in most disciplines. Used as a standalone textbook, it offers plenty of review as well as something new to engage the student in each chapter. This textbook introduces functions early and stresses the geometry behind the algebra.
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MTH 15: Applied Calculus I
LibreTexts
This calculus course is intended for majors in business and in certain areas of life sciences. The course covers differential calculus of algebraic, exponential, and logarithmic functions, introduction to integral calculus, and applications in business, economics, and the life and social sciences.
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The Laplace and Fourier Transforms on Time Scales
Svetlin G. Georgiev · Sorbonne University, Paris, France
Time scale theory was first initiated by Stefan Hilger in 1988 in his PhD thesis to unify both approaches of dynamic modelling: difference and differential equations. Similar ideas have been used before and go back in the introduction of the Riemann-Stieltjes integral which unifies sums and integrals. Many results to differential equations carry over easily to corresponding results for difference equations, while other results seem to be totally different in nature. Because of these reasons, tim
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Las matemáticas de la inteligencia artificial
Joaquin López Herraiz · Universidad Complutense de Madrid
El objetivo de este libro es mostrar la conexión existente entre los fundamentos de la inteligencia artificial y los contenidos de asignaturas como Cálculo Multivariable y Cálculo Diferencial de los grados de Física y Matemáticas.
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Open Algebra and Knots
Matthew Salomone · Bridgewater State University
The theory of knots has been well studied since the early 20th century, and has many connections to geometry and topology, and applications to physics, biology, and beyond. We’ll investigate perhaps its most fundamental connection: to algebra. In what ways are knots algebraic objects? How can we use algebraic structures and reasoning to classify knots? And how can this help us to think algebraically beyond the classroom?
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CLP-4 Vector Calculus (Feldman, Rechnitzer, and Yeager)
Joel Feldman, Andrew Rechnitzer and Elyse Yeager · University of British Columbia
This textbook covers Vector Calculus. There are chapters on curves, vector fields, surface integrals and integral theorems (such as the divergence theorem).
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Scientific Computing
Peter Staab · Fitchburg State University
Solving problems is the essence of scientific computing. Many problems arise naturally from the sciences or mathematics and often to solve difficult problem relies on some computing resources. In a nutshell, this text is the blend of science, mathematics and computer science needed to solve problems. The intended audience for this text one who is interested in writing computer code that will solve a problem that you have.
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MTH 65: Algebra 2
Math Department · Clackamas Community College
TThis book builds a strong algebra foundation. You’ll review core skills like order of operations, fractions, and linear equations, then expand into polynomials, exponents, roots, and radicals. Finally, you’ll explore absolute value to model distance, tolerance, and precision. These connected skills form a toolkit to solve problems confidently and prepare you for advanced math and real-world applications.
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Matrix Analysis
Steve Cox · Rice University
Equilibria and the solution of linear and linear least squares problems. Dynamical systems and the eigenvalue problem with the Jordan form and Laplace transform via complex integration.
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NWFSC MGF 1130 Text
Allison Godwin · Northwest Florida State University
MGF 1130: Mathematical Thinking is a general education mathematics course designed to improve practical problem-solving skills and logical reasoning
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Trigonometry
Katherine Yoshiwara · Los Angeles Pierce College
This text covers the content of a standard trigonometry course, beginning with a review of facts from geometry.
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TMCC: Precalculus I and II
OpenStax · LibreTexts
This precalculus textmap is intended for college-level Precalculus students and is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text.